fix(prt): rework vertical tracking approach #3572

Job	Run time
Check format	1m 52s
Build	10m 50s
Smoke test	17m 11s
Extended testing (ubuntu-22.04)	25m 19s
Test Intel fortran (ubuntu-22.04)	26m 58s
Test GNU fortran (macos-13, false)	26m 43s
Extended testing (macos-13)	47m 45s
Test Intel fortran (macos-13)	31m 33s
Test GNU fortran (macos-14, false)	17m 41s
Extended testing (windows-2022)	56m 36s
Test Intel fortran (windows-2022)	34m 38s
Test GNU fortran (macos-14, true)	4m 2s
Test GNU fortran (ubuntu-22.04, false)	30m 13s
Test GNU fortran (ubuntu-22.04, true)	56m 39s
Test GNU fortran (windows-2022, false)	31m 20s
	6h 59m 20s

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